🧮 algebra

1. The problem is to determine if a point or value lies to the left or right on a number line or coordinate system. 2. The general rule is: if a value is less than a reference poin

1. **State the problem:** Solve the equation $x(x+6(18-2x))=432$ for positive values of $x$. 2. **Expand and simplify the expression inside the parentheses:**

1. **State the problem:** Find the equation of the line passing through points $(1,2)$ and $(3,-4)$. 2. **Formula used:** The slope $m$ of a line through points $(x_1,y_1)$ and $(x

1. **State the problem:** Solve the equation $x^3 + y^3 = 1$ for $y$ in terms of $x$. 2. **Recall the formula:** The sum of cubes factorization is $a^3 + b^3 = (a + b)(a^2 - ab + b

1. O problema pede para resolver uma expressão ou equação com denominador $x^3 - 1$. 2. Primeiro, vamos fatorar o denominador usando a diferença de cubos: $$x^3 - 1 = (x - 1)(x^2 +

1. Vamos analisar a expressão do denominador que é $x^3 - 1$. 2. Essa expressão é uma diferença de cubos, que pode ser fatorada usando a fórmula:

1. Vamos analisar a expressão dada, que é $4x^3$ seguida de um sinal negativo, ou seja, $4x^3 - \ldots$. 2. O sinal negativo indica que o próximo termo da expressão será subtraído

1. **Problem:** A salesperson sold 6 air-conditioning systems at $2320 each with a 12% commission rate. 2. **Step 1: Calculate total sales.**

1. **State the problem:** We have a total length of steel measuring 54,259.2 cm, and we want to find out how many rods this length can make. 2. **Assumption:** To find the number o

1. The problem asks us to write the slope-intercept form of a line given the slope $m = -1$ and the y-intercept $b = 8$. 2. The slope-intercept form of a line is given by the formu

1. The problem asks us to write the slope-intercept form of a line given the slope $m = -1$ and the y-intercept $b = 8$. 2. The slope-intercept form of a line is given by the formu

1. The problem states that Layla makes one basket out of every three shots she attempts, represented by the equation $m = \frac{1}{3}a$, where $m$ is the number of shots made and $

1. **State the problem:** Matilda bought packs of cookies and boxes of donut holes. The total number of cookies and donuts is given by the equation $$24c + 18d = 132$$ where $c$ is

1. **State the problem:** We are given the linear equation $30x + 6y = 60$ and want to analyze it, including finding intercepts. 2. **Formula and rules:** To find the x-intercept,

1. The problem is to simplify the expression $0.15 \times 10^{-2}$ and write the answer in scientific notation. 2. Recall that scientific notation expresses numbers as $a \times 10

1. **State the problem:** Simplify the expression $0.15 \times 10^{-2}$ and write the answer in scientific notation. 2. **Recall the scientific notation format:** A number in scien

1. Énonçons le problème : Trouver la valeur de $y$ dans l'équation $\frac{1}{y + 1} = \frac{x}{x + 1}$.\n\n2. Utilisons la propriété d'égalité des fractions : si $\frac{a}{b} = \fr

1. **State the problem:** A man takes 1 hour less than his apprentice to paint a room alone. Together, they take 72 minutes to paint the room. We need to find the time the apprenti

1. The problem is to break down a mathematical expression or concept suitable for a class six student. 2. Since the user did not specify a particular problem, let's explain a simpl

1. The problem is to simplify a radical expression, which means rewriting it in the simplest form without a radical in the denominator or with the smallest possible radicand. 2. Th

1. Masalah: Diketahui penjualan laptop perusahaan A pada tahun 2001, 2002, dan 2003 berturut-turut adalah 9, 27, dan 81 unit. Jika hubungan antara tahun dan penjualan membentuk fun